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Finding the Fourth Proportional to 4,288.81, 6,429.51 and 1,658.16

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Solution

The fourth proportional to 4,288.81, 6,429.51 and 1,658.16 is: 2,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,288.81 : 6,429.51 = 1,658.16 : x
  2. Step 2: Convert to fraction form
    4,288.81/6,429.51 = 1,658.16/x
  3. Step 3: Cross multiply
    4,288.81x = 6,429.51 × 1,658.16
  4. Step 4: Simplify right side
    4,288.81x = 10,661,156.30
  5. Step 5: Solve for x
    x = 10,661,156.30/4,288.81
  6. Step 6: Final answer
    x = 2,485.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.